The instability of rhombic cell flows

Publisher Website
Google Scholar
Abstract
Instability of two-dimensional periodic flows with rhombic cell structure represented by the stream function ψ=cos kx+cos y is investigated. Stability characteristics are obtained for the Reynolds number R=1, 2, 3 and 4 and the ratio of the diagonals of the cell k=1, ½ and ¼. Variation of the critical Reynolds number Rc with k is obtained, and the square cell flow (k=1) is found to be most stable (Rc=√2). It is found that Rc → 1 as k → 0, which leads to a finite gap between this limiting Rc and Rc=√2 for K=0 (ψ=cos y).

This publication has 7 references indexed in Scilit: